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Finding the Third Proportional to 3,949.50 and 9,142.88

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Solution

The third proportional to 3,949.50 and 9,142.88 is: 21,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.50 : 9,142.88 = 9,142.88 : x
  2. Step 2: Convert to fraction form
    3,949.50/9,142.88 = 9,142.88/x
  3. Step 3: Cross multiply
    3,949.50x = 9,142.88 × 9,142.88
  4. Step 4: Simplify right side
    3,949.50x = 83,592,163.27
  5. Step 5: Solve for x
    x = 83,592,163.27/3,949.50
  6. Step 6: Final answer
    x = 21,165.25

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.